1、RAPPORT TECHNIQUE CEI IEC TECHNICAL REPORT TR609094 Premiredition Firstedition 200007 Courantsdecourtcircuitdanslesrseaux triphasscourantalternatif Partie4: Exemplespourlecalculdescourants decourtcircuit Shortcircuitcurrentsinthreephase a.c.systems Part4: Examplesforthecalculationof shortcircuitcurr
2、ents Numroderfrence Referencenumber IEC/TR609094:2000Numrosdespublications Depuisle1erjanvier1997,lespublicationsdelaCEI sontnumrotespartirde60000. Publicationsconsolides Lesversionsconsolidesdecertainespublicationsde laCEIincorporantlesamendementssontdisponibles. Parexemple,lesnumrosddition1.0,1.1e
3、t1.2 indiquentrespectivementlapublicationdebase,la publicationdebaseincorporantlamendement1,etla publicationdebaseincorporantlesamendements1 et2. Validitdelaprsentepublication LecontenutechniquedespublicationsdelaCEIest constammentrevuparlaCEIafinquilreflteltat actueldelatechnique. Desrenseignements
4、relatifsladatedereconfir mationdelapublicationsontdisponiblesdansle CataloguedelaCEI. Lesrenseignementsrelatifsdesquestionsltudeet destravauxencoursentreprisparlecomittechnique quiatablicettepublication,ainsiquelalistedes publicationstablies,setrouventdanslesdocumentsci dessous: SitewebdelaCEI* Cata
5、loguedespublicationsdelaCEI Publiannuellementetmisjour rgulirement (Catalogueenligne)* BulletindelaCEI DisponiblelafoisausitewebdelaCEI* etcommepriodiqueimprim Terminologie,symbolesgraphiques etlittraux Encequiconcernelaterminologiegnrale,lelecteur sereporteralaCEI60050: VocabulaireElectro technique
6、International (VEI). Pourlessymbolesgraphiques,lessymboleslittraux etlessignesdusagegnralapprouvsparlaCEI,le lecteurconsulteralaCEI60027: Symboleslittraux utiliserenlectrotechnique,laCEI60417:Symboles graphiquesutilisablessurlematriel.Index,relevet compilationdesfeuillesindividuelles, etlaCEI60617:
7、Symbolesgraphiquespourschmas. * Voiradressesitewebsurlapagedetitre. Numbering Asfrom1January1997allIECpublicationsare issuedwithadesignationinthe60000series. Consolidatedpublications ConsolidatedversionsofsomeIECpublications includingamendmentsareavailable.Forexample, editionnumbers1.0,1.1and1.2refe
8、r,respectively,to thebasepublication,thebasepublicationincor poratingamendment1andthebasepublication incorporatingamendments1and2. Validityofthispublication ThetechnicalcontentofIECpublicationsiskept underconstantreviewbytheIEC,thusensuringthat thecontentreflectscurrenttechnology. Informationrelatin
9、gtothedateofthereconfirmation ofthepublicationisavailableintheIECcatalogue. Informationonthesubjectsunderconsiderationand workinprogressundertakenbythetechnical committeewhichhaspreparedthispublication,aswell asthelistofpublicationsissued,istobefoundatthe followingIECsources: IECwebsite* Catalogueof
10、IECpublications Publishedyearlywithregularupdates (Onlinecatalogue)* IECBulletin AvailablebothattheIECwebsite*and asaprintedperiodical Terminology,graphicalandletter symbols Forgeneralterminology,readersarereferredto IEC60050:InternationalElectrotechnicalVocabulary (IEV). Forgraphicalsymbols,andlett
11、ersymbolsandsigns approvedbytheIECforgeneraluse,readersare referredtopublicationsIEC60027: Lettersymbolsto beusedinelectricaltechnology ,IEC60417: Graphical symbolsforuseonequipment.Index,surveyand compilationofthesinglesheets andIEC60617: Graphicalsymbolsfordiagrams. * Seewebsiteaddressontitlepage.
12、RAPPORT TECHNIQUE CEI IEC TECHNICAL REPORT TR609094 Premiredition Firstedition 200007 Courantsdecourtcircuitdanslesrseaux triphasscourantalternatif Partie4: Exemplespourlecalculdescourants decourtcircuit Shortcircuitcurrentsinthreephase a.c.systems Part4: Examplesforthecalculationof shortcircuitcurr
13、ents Commission Electrotechnique Internationale InternationalElectrotechnicalCommission Pourprix,voircatalogueenvigueur Forprice,seecurrentcatalogue IEC2000Droitsdereproductionrservs Copyrightallrightsreserved Aucunepartiedecettepublicationnepeuttrereproduiteni utilisesousquelqueformequecesoitetpara
14、ucunprocd, lectroniqueoumcanique,ycomprislaphotocopieetles microfilms,sanslaccordcritdelditeur. Nopartofthispublicationmaybereproducedorutilizedin anyformorbyanymeans,electronicormechanical, includingphotocopyingandmicrofilm,withoutpermissionin writingfromthepublisher. InternationalElectrotechnicalC
15、ommission 3,ruedeVarembGeneva,Switzerland Telefax:+41229190300 email:inmailiec.ch IECwebsitehttp:/www.iec.ch CODEPRIX PRICECODE XB2 TR609094CEI:2000 SOMMAIRE Pages AVANTPROPOS. .6 Articles 1 Gnralits 10 1.1 Domainedapplicationetobjet.10 1.2 Documentsderfrence.10 1.3 Dfinitions,symbolesetindices,etqu
16、ations12 2 Impdancesdirecte,inverseethomopolairedesmatrielslectriques .12 2.1 Lignesariennes,cblesetractancesdelimitationducourantdecourtcircuit 12 2.2 Transformateurs.14 2.3 Alternateursetgroupesdeproduction26 3 Calculdescourantsdecourtcircuitdansunrseaubassetension U n =400V 36 3.1 Problme36 3.2 D
17、terminationdesimpdancesdirectes36 3.2.1 Rseaudalimentation 36 3.2.2 Transformateurs.40 3.2.3 Lignes(cblesetlignearienne)40 3.3 Dterminationdesimpdanceshomopolaires.42 3.3.1 Transformateurs.42 3.3.2 Lignes(cblesetlignesariennes).42 3.4 Calculde “ k I et i p pourlescourtcircuitstriphass .44 3.4.1 Poin
18、tdecourtcircuitF144 3.4.2 PointdecourtcircuitF246 3.4.3 PointdecourtcircuitF348 3.5 Calculde “ k1 I et i p1 pourlescourtscircuitsphaseterre 48 3.5.1 PointdecourtcircuitF148 3.5.2 PointdecourtcircuitF252 3.5.3 PointdecourtcircuitF354 3.6 Rcapitulationdesrsultats54 4 Calculdescourantsdecourtcircuittri
19、phassdansunrseaumoyennetensioninfluence desmoteurs .56 4.1 Problme56 4.2 Calculcomplexepartirdegrandeursrelles 58 4.3 Calculaveclesractancesdecourtcircuitdumatriellectrique66 4.4 Calculpartirdesgrandeursrduites 70 4.5 Calculaveclamthodedesuperposition74TR609094IEC:2000 3 CONTENTS Page FOREWORD .7 Cl
20、ause 1 General11 1.1 Scopeandobject11 1.2 Referencedocuments .11 1.3 Definitions,symbolsandindices,andequations 13 2 Positivesequence,negativesequenceandzerosequenceimpedancesofelectrical equipment13 2.1 Overheadlines,cablesandshortcircuitlimitingreactors 13 2.2 Transformers15 2.3 Generatorsandpower
21、stationunits27 3 Calculationofshortcircuitcurrentsinalowvoltagesystem U n =400V37 3.1 Problem .37 3.2 Determinationofthepositivesequenceimpedances 37 3.2.1 Networkfeeder 37 3.2.2 Transformers .41 3.2.3 Lines(cablesandoverheadlines) 41 3.3 Determinationofthezerosequenceimpedances43 3.3.1 Transformers
22、 .43 3.3.2 Lines(cablesandoverheadlines) 43 3.4 Calculationof “ k I and i p forthreephaseshortcircuits .45 3.4.1 ShortcircuitlocationF145 3.4.2 ShortcircuitlocationF247 3.4.3 ShortcircuitlocationF349 3.5 Calculationof “ k1 I and i p1 forlinetoearthshortcircuits49 3.5.1 ShortcircuitlocationF149 3.5.2
23、 ShortcircuitlocationF253 3.5.3 ShortcircuitlocationF355 3.6 Collectionofresults.55 4 Calculationofthreephaseshortcircuitcurrentsinamediumvoltagesystem influenceofmotors 57 4.1 Problem .57 4.2 Complexcalculationwithabsolutequantities 59 4.3 Calculationwithshortcircuitreactancesofelectricalequipment
24、67 4.4 Calculationwithperunitquantities .71 4.5 Calculationwiththesuperpositionmethod 754 TR609094CEI:2000 Articles Pages 5 Calculdescourantsdecourtcircuittriphasspourungroupedeproductionet lerseauauxiliaire . .82 5.1 Problme82 5.2 Impdancesdecourtcircuitdesmatrielslectriques86 5.2.1 Rseaudalimentat
25、ion 86 5.2.2 Groupedeproduction 86 5.2.3 Transformateursauxiliaires .90 5.2.4 Transformateursbassetension2,5MVAet1,6MVA90 5.2.5 Moteursasynchrones .98 5.3 Calculdescourantsdecourtcircuit .98 5.3.1 PointdecourtcircuitF198 5.3.2 PointdecourtcircuitF2100 5.3.3 PointdecourtcircuitF3104 5.3.4 Pointdecour
26、tcircuitF4110 5.3.5 PointdecourtcircuitF5114 6 Rseaudessaipourlecalculdescourantsdecourtcircuitavecdesprogrammes informatiques,conformmentlaCEI609090.118 6.1 Gnralits.118 6.2 Rseaudessaihautetension380kV/110kV/30kV .120 6.2.1 Topologieetcaractristiquesdurseau .120 6.2.2 Impdancesdecourtcircuitdesmat
27、rielslectriques124 6.3 Rsultats 128 6.3.1 Courantsdecourtcircuittriphass 128 6.3.2 Courantsdecourtcircuitphaseterre .130TR609094IEC:2000 5 Clause Page 5 Calculationofthreephaseshortcircuitcurrentsforapowerstationunitand theauxiliarynetwork .83 5.1 Problem .83 5.2 Shortcircuitimpedancesofelectricaleq
28、uipment.87 5.2.1 Networkfeeder 87 5.2.2 Powerstationunit87 5.2.3 Auxiliarytransformers.91 5.2.4 Lowvoltagetransformers2,5MVAand1,6MVA 91 5.2.5 Asynchronousmotors 99 5.3 Calculationofshortcircuitcurrents.99 5.3.1 ShortcircuitlocationF199 5.3.2 ShortcircuitlocationF2101 5.3.3 ShortcircuitlocationF3105
29、 5.3.4 ShortcircuitlocationF4111 5.3.5 ShortcircuitlocationF5115 6 Testnetworkforthecalculationofshortcircuitcurrentswithdigitalprograms inaccordancewithIEC609090119 6.1 General 119 6.2 Highvoltagetestnetwork380kV/110kV/30kV121 6.2.1 Networktopologyanddata 121 6.2.2 Shortcircuitimpedancesofelectrica
30、lequipment 125 6.3 Results.127 6.3.1 Threephaseshortcircuitcurrents .129 6.3.2 Linetoearthshortcircuitcurrents 1316 TR609094CEI:2000 COMMISSIONLECTROTECHNIQUEINTERNATIONALE _ COURANTSDECOURTCIRCUITDANSLESRSEAUXTRIPHASS COURANTALTERNATIF Partie4:Exemplespourlecalculdescourantsdecourtcircuit AVANTPROP
31、OS 1) LaCEI(CommissionlectrotechniqueInternationale)estuneorganisationmondialedenormalisationcompose delensembledescomitslectrotechniquesnationaux(ComitsnationauxdelaCEI).LaCEIapourobjetde favoriserlacooprationinternationalepourtouteslesquestionsdenormalisationdanslesdomainesde llectricitetdellectro
32、nique.Aceteffet,laCEI,entreautresactivits,publiedesNormesinternationales.Leur laborationestconfiedescomitsdtudes,auxtravauxdesquelstoutComitnationalintressparlesujet traitpeutparticiper.Lesorganisationsinternationales,gouvernementalesetnongouvernementales,enliaison aveclaCEI,participentgalementauxtr
33、avaux.LaCEIcollaboretroitementaveclOrganisationInternationale deNormalisation(ISO),selondesconditionsfixesparaccordentrelesdeuxorganisations. 2) LesdcisionsouaccordsofficielsdelaCEIconcernantlesquestionstechniquesreprsentent,danslamesuredu possible,unaccordinternationalsurlessujetstudis,tantdonnquel
34、esComitsnationauxintressssont reprsentsdanschaquecomitdtudes. 3) Lesdocumentsproduitsseprsententsouslaformederecommandationsinternationales.Ilssontpubliscomme normes,spcificationstechniques,rapportstechniquesouguidesetagrscommetelsparlesComitsnationaux. 4) Danslebutdencouragerlunificationinternation
35、ale,lesComitsnationauxdelaCEIsengagentappliquerde faontransparente,danstoutelamesurepossible,lesNormesinternationalesdelaCEIdansleursnormes nationalesetrgionales.ToutedivergenceentrelanormedelaCEIetlanormenationaleourgionale correspondantedoittreindiqueentermesclairsdanscettedernire. 5) LaCEInafixau
36、cuneprocdureconcernantlemarquagecommeindicationdapprobationetsaresponsabilit nestpasengagequandunmatrielestdclarconformelunedesesnormes. 6) Lattentionestattiresurlefaitquecertainsdeslmentsduprsentrapporttechniquepeuventfairelobjetde droitsdepropritintellectuelleoudedroitsanalogues.LaCEInesauraittret
37、enuepourresponsabledenepas avoiridentifidetelsdroitsdepropritetdenepasavoirsignalleurexistence. LatcheprincipaledescomitsdtudesdelaCEIestllaborationdesNormesinternationales. Toutefois,uncomitdtudespeutproposerlapublicationdunrapporttechniquelorsquilaruni desdonnesdenaturediffrentedecellesquisontnorm
38、alementpubliescommeNormes internationales,celapouvantcomprendre,parexemple,desinformationssurltatdelatechnique. LaCEI609094,quiestunrapporttechnique,attablieparlecomitdtudes73delaCEI: Courantsdecourtcircuit. CerapporttechniquedoittreutilisconjointementaveclaCEI609090. Letextedecerapporttechniqueesti
39、ssudesdocumentssuivants: Projetdenqute Rapportdevote 73/105/CDV 73/108/RVC Lerapportdevoteindiqudansletableaucidessusdonnetouteinformationsurlevoteayant aboutilapprobationdecerapporttechnique. CettepublicationatrdigeselonlesDirectivesISO/CEI,Partie3. Cedocument,purementinformatif,nedoitpastreconsidr
40、commeuneNormeinternationale.TR609094IEC:2000 7 INTERNATIONALELECTROTECHNICALCOMMISSION _ SHORTCIRCUITCURRENTSINTHREEPHASEACSYSTEMS Part4:Examplesforthecalculationofshortcircuitcurrents FOREWORD 1) TheIEC(InternationalElectrotechnicalCommission)isaworldwideorganizationforstandardizationcomprising all
41、nationalelectrotechnicalcommittees(IECNationalCommittees).TheobjectoftheIECistopromote internationalcooperationonallquestionsconcerningstandardizationintheelectricalandelectronicfields.To thisendandinadditiontootheractivities,theIECpublishesInternationalStandards.Theirpreparationis entrustedtotechni
42、calcommittees;anyIECNationalCommitteeinterestedinthesubjectdealtwithmay participateinthispreparatorywork.International,governmentalandnongovernmentalorganizationsliaising withtheIECalsoparticipateinthispreparation.TheIECcollaboratescloselywiththeInternationalOrganization forStandardization(ISO)inaccordancewithconditionsdeterminedbyagreementbetweenthetwoorganizations. 2) TheformaldecisionsoragreementsoftheIEContechnicalmattersexpress,asnearlyaspossible,aninternational consensusofopinionontherelevantsubjectssinceeachtechnicalcommitteehasrepresentationfromall interestedNationalCommitte
